Quantitative Aptitude - Arithmetic Ability Questions

Q:

In how many ways can the letters of the word "PROBLEM" be rearranged to make 7 letter words such that none of the letters repeat?

A) 49 B) 7!
C) 7^7 D) 7^3
 
Answer & Explanation Answer: B) 7!

Explanation:

There are seven positions to be filled.

 

The first position can be filled using any of the 7 letters contained in PROBLEM.

 

The second position can be filled by the remaining 6 letters as the letters should not repeat.

 

The third position can be filled by the remaining 5 letters only and so on.

 

Therefore, the total number of ways of rearranging the 7 letter word = 7*6*5*4*3*2*1 = 7! ways.

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2 15718
Q:

64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3 ?

A) 168 B) 201
C) 147 D) 154
 
Answer & Explanation Answer: A) 168

Explanation:

Let us say x boys and x girls joined the group.

(64 + x)/(40 + x) = 4/3

192 + 3x = 160 + 4x => x = 32

Number of members in the group = 64 + x + 40 + x

= 104 + 2x = 168.

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Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

16 15688
Q:

If repetition of the digits is allowed, then the number of even natural numbers having three digits is :

A) 550 B) 450
C) 500 D) 540
 
Answer & Explanation Answer: B) 450

Explanation:

In a 3 digit number one’s place can be filled in 5 different ways with (0,2,4,6,8)

10’s place can be filled in 10 different ways

100’s place can be filled in 9 different ways

There fore total number of ways = 5X10X9 = 450

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10 15635
Q:

Which of the following numbers is irrational?

 

A) 643 B) √64
C) 646 D) 644
 
Answer & Explanation Answer: D) 644

Explanation:
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Filed Under: Problems on Numbers
Exam Prep: Bank Exams

3 15628
Q:

The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the maximum distance from A to C? 

A) 11 B) 8
C) 2 D) 4
 
Answer & Explanation Answer: A) 11

Explanation:

Do not assume that AB and C are on a straight line. Make a diagram with A and B marked 5 miles apart. Draw a circle centered on B, with radius 6. C could be anywhere on this circle. The minimum distance will be 1, and maximum 11

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Filed Under: Time and Distance
Exam Prep: GRE

20 15617
Q:

A man invested Rs. 4455 in Rs. 10 shares quoted at Rs. 8.25. If the rate of dividend be 12%, his annual income is:

A) 107.04 B) 648
C) 500 D) 648.60
 
Answer & Explanation Answer: B) 648

Explanation:

Number of shares = 44558.25= 540.

 

Face value = Rs. (540 x 10) = Rs. 5400.

 

Annual income = Rs.12100*5400 = Rs. 648.

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Filed Under: Stocks and Shares

6 15611
Q:

The variance of a set of data is 196. Then the standard deviation of the data is

 

A) +-14 B) 14
C) 96 D) 98
 
Answer & Explanation Answer: B) 14

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

1 15572
Q:

Two pipes A and B can separately fill a cistern in 10 and 15 minutes respectively. A person opens both the pipes together when the cistern should have been was full he finds the waste pipe open. He then closes the waste pipe and in another 3 minutes the cistern was full. In what time can the waste pipe empty the cistern when fill  ?

A) 8.21 min B) 8 min
C) 8.57 min D) 8.49 min
 
Answer & Explanation Answer: C) 8.57 min

Explanation:

1/10 + 1/15 = 1/6 x 3 = 1/2

1 - 1/2 = 1/2

1/10 + 1/15 - 1/x = 1/2

x = 8.57 min

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Filed Under: Pipes and Cistern
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

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